(m+9)(m-8)=0

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Solution for (m+9)(m-8)=0 equation: 


Simplifying
(m + 9)(m + -8) = 0

Reorder the terms:
(9 + m)(m + -8) = 0

Reorder the terms:
(9 + m)(-8 + m) = 0

Multiply (9 + m) * (-8 + m)
(9(-8 + m) + m(-8 + m)) = 0
((-8 * 9 + m * 9) + m(-8 + m)) = 0
((-72 + 9m) + m(-8 + m)) = 0
(-72 + 9m + (-8 * m + m * m)) = 0
(-72 + 9m + (-8m + m2)) = 0

Combine like terms: 9m + -8m = 1m
(-72 + 1m + m2) = 0

Solving
-72 + 1m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-9 + -1m)(8 + -1m) = 0


Subproblem 1
Set the factor '(-9 + -1m)' equal to zero and attempt to solve:

Simplifying
-9 + -1m = 0

Solving
-9 + -1m = 0

Move all terms containing m to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + -1m = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1m = 0 + 9
-1m = 0 + 9

Combine like terms: 0 + 9 = 9
-1m = 9

Divide each side by '-1'.
m = -9

Simplifying
m = -9

Subproblem 2
Set the factor '(8 + -1m)' equal to zero and attempt to solve:

Simplifying
8 + -1m = 0

Solving
8 + -1m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -1m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1m = 0 + -8
-1m = 0 + -8

Combine like terms: 0 + -8 = -8
-1m = -8

Divide each side by '-1'.
m = 8

Simplifying
m = 8
Solution
m = {-9, 8}

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